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import numpy as np
import pytest
from numpy.testing import assert_allclose
from einsteinpy.coordinates import (
BoyerLindquistConversion,
CartesianConversion,
SphericalConversion,
)
@pytest.fixture()
def cartesian_coords():
return CartesianConversion(
t=0.,
x=10 / np.sqrt(2),
y=10 / np.sqrt(2),
z=0.,
v_x=-190 / np.sqrt(2),
v_y=210 / np.sqrt(2),
v_z=200.
)
@pytest.fixture()
def spherical_coords():
return SphericalConversion(
t=0.,
r=10.,
theta=np.pi / 2,
phi=np.pi / 4,
v_r=10.,
v_th=-20.,
v_p=20.
)
@pytest.fixture()
def bl_coords():
return BoyerLindquistConversion(
t=0.,
r=10.,
theta=np.pi / 2,
phi=np.pi / 4,
v_r=10.,
v_th=-20.,
v_p=20.
)
def strip_velocities(coords):
vals = coords.values()
return type(coords)(*vals[:4])
def test_CartesianToSpherical(cartesian_coords, spherical_coords):
to_spherical_coords = cartesian_coords.convert_spherical()
assert_allclose(to_spherical_coords, spherical_coords.values(), rtol=0.0, atol=1e-6)
cartesian_coords, spherical_coords = (
strip_velocities(cartesian_coords),
strip_velocities(spherical_coords),
)
to_spherical_coords = cartesian_coords.convert_spherical()
assert_allclose(to_spherical_coords, spherical_coords.values(), rtol=0.0, atol=1e-6)
def test_CartesianToBoyerLindquistDifferential(cartesian_coords, bl_coords):
M = 1e24
a = 0.75
to_bl_coords = cartesian_coords.convert_bl(M=M, a=a)
assert_allclose(to_bl_coords, bl_coords.values(), rtol=0.0, atol=1e-6)
cartesian_coords, bl_coords = (
strip_velocities(cartesian_coords),
strip_velocities(bl_coords),
)
to_bl_coords = cartesian_coords.convert_bl(M=M, a=a)
assert_allclose(to_bl_coords, bl_coords.values(), rtol=0.0, atol=1e-6)
def test_SphericalToCartesianDifferential(spherical_coords, cartesian_coords):
to_cartesian_coords = spherical_coords.convert_cartesian()
assert_allclose(to_cartesian_coords, cartesian_coords.values(), rtol=0.0, atol=1e-6)
cartesian_coords, spherical_coords = (
strip_velocities(cartesian_coords),
strip_velocities(spherical_coords),
)
to_cartesian_coords = spherical_coords.convert_cartesian()
assert_allclose(to_cartesian_coords, cartesian_coords.values(), rtol=0.0, atol=1e-6)
def test_SphericalToBoyerLindquistDifferential(spherical_coords, bl_coords):
M = 1e24
a = 0.75
to_bl_coords = spherical_coords.convert_bl(M=M, a=a)
assert_allclose(to_bl_coords, bl_coords.values(), rtol=0.0, atol=1e-6)
spherical_coords, bl_coords = (
strip_velocities(spherical_coords),
strip_velocities(bl_coords),
)
to_bl_coords = spherical_coords.convert_bl(M=M, a=a)
assert_allclose(to_bl_coords, bl_coords.values(), rtol=0.0, atol=1e-6)
def test_BoyerLindquistToCartesianDifferential(bl_coords, cartesian_coords):
M = 1e24
a = 0.75
to_cartesian_coords = bl_coords.convert_cartesian(M=M, a=a)
assert_allclose(to_cartesian_coords, cartesian_coords.values(), rtol=0.0, atol=1e-6)
bl_coords, cartesian_coords = (
strip_velocities(bl_coords),
strip_velocities(cartesian_coords),
)
to_cartesian_coords = bl_coords.convert_cartesian(M=M, a=a)
assert_allclose(to_cartesian_coords, cartesian_coords.values(), rtol=0.0, atol=1e-6)
def test_BoyerLindquistToSphericalDifferential(bl_coords, spherical_coords):
M = 1e24
a = 0.75
to_spherical_coords = bl_coords.convert_spherical(M=M, a=a)
assert_allclose(to_spherical_coords, spherical_coords.values(), rtol=0.0, atol=1e-6)
bl_coords, spherical_coords = (
strip_velocities(bl_coords),
strip_velocities(spherical_coords),
)
to_spherical_coords = bl_coords.convert_spherical(M=M, a=a)
assert_allclose(to_spherical_coords, spherical_coords.values(), rtol=0.0, atol=1e-6)
def test_cycle_BLSphericalDifferential(bl_coords):
M = 1e24
a = 0.75
bl_diff = bl_coords
sph_diff = bl_diff.convert_spherical(M=M, a=a)
bl_diff2 = SphericalConversion(*sph_diff).convert_bl(M=M, a=a)
assert_allclose(bl_diff2, bl_diff.values(), rtol=0.0, atol=1e-6)
def test_cycle_BLCartesianDifferential(bl_coords):
M = 1e24
a = 0.75
bl_diff = bl_coords
cart_diff = bl_diff.convert_cartesian(M=M, a=a)
bl_diff2 = CartesianConversion(*cart_diff).convert_bl(M=M, a=a)
assert_allclose(bl_diff2, bl_diff.values(), rtol=0.0, atol=1e-6)
def test_convert_kwargs_raises_KeyError0(
cartesian_coords, spherical_coords, bl_coords
):
def c_s(cartesian_coords):
return cartesian_coords.convert_spherical()
def c_b(cartesian_coords):
return cartesian_coords.convert_bl()
def s_b(spherical_coords):
return spherical_coords.convert_bl()
# This should not raise KeyError
try:
c_s(cartesian_coords)
except KeyError:
pytest.fail("Unexpected KeyError!")
# These 2 should raise KeyError
with pytest.raises(KeyError):
c_b(cartesian_coords)
with pytest.raises(KeyError):
s_b(spherical_coords)
def test_convert_kwargs_raises_KeyError1(
cartesian_coords, spherical_coords, bl_coords
):
def s_c(spherical_coords):
return spherical_coords.convert_cartesian()
def b_c(bl_coords):
return bl_coords.convert_cartesian()
def b_s(bl_coords):
return bl_coords.convert_spherical()
# This should not raise KeyError
try:
s_c(spherical_coords)
except KeyError:
pytest.fail("Unexpected KeyError!")
# These 2 should raise KeyError
with pytest.raises(KeyError):
b_c(bl_coords)
with pytest.raises(KeyError):
b_s(bl_coords)
|
